The Character Theory of Finite Groups of Lie Type (Hardcover)

Meinolf Geck

ISBN 10: 1108489621 / ISBN 13: 9781108489621

Published by Cambridge University Press, Cambridge, 2020

About this Item

Hardcover. Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and DigneMichel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-HarishChandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers. The character theory of reductive groups over finite fields is a rich, complex and vast field, incorporating tools and methods from many mathematical areas. This book provides a contemporary treatment of the theory and is a useful reference for graduate students and researchers with a basic understanding of algebraic geometry. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9781108489621

Bibliographic Details

• Title: The Character Theory of Finite Groups of Lie Type (Hardcover)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2020
• Language: English
• ISBN 10: 1108489621
• ISBN 13: 9781108489621
• Binding: Hardcover
• Condition: new

About this title

Synopsis

Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne–Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish–Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers.

About the Authors

Meinolf Geck is Professor of Algebra at Universität Stuttgart. He works in the areas of algebraic groups and representation theory of finite groups and has (co-)authored books including An Introduction to Algebraic Geometry and Algebraic Groups (2003), Representations of Hecke Algebras at Roots of Unity (2011) and Representations of Reductive Groups (1998).

Gunter Malle is Professor of Mathematics at Technische Universität Kaiserslautern, Germany. He works in the area of representation theory of finite groups and he co-authored Linear Algebraic Groups and Finite Groups of Lie Type (2011) and Inverse Galois Theory (1999). Professor Malle received an ERC Advanced Grant on 'Counting conjectures' in 2012.